Geometry and Topology Seminar
Special Geometry Seminar: April 13, 2026
Apr. 6, 2026—Monday, April 13, 2026 | SC1310 4:00pm to 5:00pm Speaker: Richard Hain (Duke University) Title: Hyperelliptic Johnson homomorphisms and higher algebraic cycles Abstract: In this talk I will define analogues of the Johnson homomorphism for hyperelliptic mapping class groups and explain their relevance to the study of higher algebraic cycles associated to hyperelliptic curves. The...
Geometry and Topology Seminar: April 4, 2025
Mar. 31, 2025—Speaker: Hannah Housden (Vanderbilt University) Title: TBA Abstract: TBA
Geometry and Topology Seminar: February 28, 2025
Feb. 28, 2025—Speaker: Zhonghui Sun (Michigan State University) Title: Equivariant Bicategorical Shadows and Traces Abstract: Bicategorical shadows, defined by Ponto, provide a framework that generalizes (topological) Hochschild homology. Bicategorical shadows have important properties, such as Morita invariance, and allow one to generalize the symmetric monoidal trace to a bicategorical trace. Topological Hochschild homology (THH), an essential component of the trace methods...
Geometry and Topology Seminar: November 8, 2024
Nov. 8, 2024—Speaker: Valentina Zapata Castro (University of Virginia) Title: A monoid can be interpreted as a category with a single object, where the morphisms correspond to the elements of the monoid. Extending this concept to higher categories, in this talk I will explore the relationship between complete Segal spaces with a monoidal structure and complete Segal Theta_2-spaces, considering an approach...
Geometry and Topology Seminar: October 25, 2024
Oct. 25, 2024—Speaker: Yifan Chen (UC Berkeley) Title: More Complete Calabi-Yau Metrics of Calabi Type Abstract: We construct more complete Calabi-Yau metrics asymptotic to Calabi ansatz. They are the higher-dimensional analogues of ALH* gravitational instantons in two dimensions. Our work builds on and generalizes the results of Tian-Yau and Hein-Sun-Viaclovski-Zhang, creating Calabi-Yau metrics that are only polynomially close to the model...
Geometry and Topology Seminar: October 4, 2024
Oct. 7, 2024—Speaker: Sofia Martinez Alberga (Purdue University) Title: Modeling Equivariant Simplicial Sets with Simplicial Coalgebras Abstract: Given a commutative ring R, a $\pi_1$-R-equivalence is a continuous map of spaces inducing an isomorphism on fundamental groups and an R-homology equivalence between universal covers. When R is an algebraically closed field, Raptis and Rivera described a full and faithful model for the homotopy...
Geometry and Topology Seminar: Friday, September 27th
Sep. 27, 2024—Speaker: Garrett Michael Brown (UC Berkeley) Title: The sign of scalar curvature on Kaehler blowups Abstract: In Kaehler geometry there is a compelling interaction between the curvature of the metric and the underlying algebro-geometric structure. One example is that positivity of the scalar curvature forces the the Kodaira dimension to be negative. I will explain a recent resolution to the...